Math · Numbers and calculations

Mental addition to one million

Split numbers, combine matching place values, and use nearby round numbers.

12 min to read and practice

Learn

4 × 1008 × 102 × 1400 + 80 + 2482
Place changes a digit’s value: 482 is 400 plus 80 plus 2.

Calculate in matching units

If you know 46 + 27 = 73, then 46,000 + 27,000 = 73,000. You are counting thousands as units. Make sure both numbers use the same unit.

Split the second addend

For 468,000 + 27,000, first add 20,000, then 7,000. You get 488,000, then 495,000. The number 27,000 is not 27: the zeros show its thousands value.

Round, then compensate

For 256,400 + 9,900, add 10,000 and then remove the extra 100. You get 266,400 − 100 = 266,300. Remove the excess that you added.

Worked examples

468 000 + 27 000 = 488 000 + 7 000 = 495 000

We split the second addend into 20,000 and 7,000.

398 750 + 4 000 = 402 750

398 thousand plus 4 thousand is 402 thousand. The remainder 750 stays the same. Crossing 400,000 is expected.

Try it yourself

Your turn

Type the missing word, number, or sign. Spaces in large numbers are allowed. Try first, then open the explanation.

Answer and explanation

590000. 24 ten-thousands + 35 ten-thousands = 59 ten-thousands.

Answer and explanation

608000. 572,000 + 30,000 + 6,000 = 608,000.

Answer and explanation

695245. 687 thousand + 8 thousand = 695 thousand; the remainder is 245.

Answer and explanation

355400. Add 10,000, then subtract 200.

Two teams collect points: 186,500 and 24,900. Find their total by adding a round number.

See an example answer

186,500 + 25,000 − 100 = 211,400 points.

Check your knowledge

Choose one answer for each question. You can revise your answers and check again.

1. What is 320,000 + 470,000?
2. What is 298,500 + 3,000?
3. To add 19,900, you can:
4. What is 875,000 + 125,000?
5. What is 423,018 + 6,000?

Answer key
  1. 790 000. 32 + 47 = 79, counted in ten-thousands.
  2. 301 500. 298 thousand + 3 thousand = 301 thousand.
  3. Add 20,000, then subtract 100. 20,000 is 100 more than the required addend.
  4. 1 000 000. 875 + 125 = 1,000 thousands.
  5. 429 018. The number of thousands changes; 018 remains.

Connect learning and practice

Review an explanation or try a related activity. Choose what you need next.